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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 151v, page id 00068195:0302
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102 16) 5105
265986 13289
1+37
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inscriptaa
Figure similes similiter positae habent idem
centrum gravitatis, ed contra quae figurae
sunt sinile habe similes inscriptae habent centum
(in eodem plano) habent centrum gravitatis
commune sunt similiter positae inscriptae.
Demonstratio haec pest cum in figura stropora
Honaliter ab omni lalere in se recodente, omnes
radiis
lineae proportionaliter diminuantur lineioesou D
et per centrum gravitatis tendentibus proportionaliter
diminutis aequalis erre diminutio utrobique
ergo idem manebit centrum gravitatis. Imo
+ in circumferentiam
ne explicari quidem ista diminutios proportionalis
potest sine radiorum istorum contractione.
problema maximi momenti: datis duobus
quibuslibet ex his tribus, area figurae,
centro gravitulis sradio, peripheria,
tertium invenire
Turvilinea parabolicae curvam
rectam aequalem invenire Nam
Datar
Datur area parabolae, datur ejusdem centrum
gravitalis, per dem. Archim. Ergo et peripheria
per prob. praeced
quadratura prbo Hyperbolae datur turvae
paribolicae recta aequalis, per probl. praeced.
ergo et quadrature Hypertolae per
ab Heuraetio 
t est, dameter ad circumferentiam
ita est figura circa suum axem voluta
ad superficiem cuovam.
rada _ = D
circab supocyst sup hem.
Ergo sup. cyl.
sup. hem D
Ratio Cyl. ad Hemisph. est ut 3 ad 2.
ergo raio quadr circumper. ad quadr. vel
Quad. diam. ad circ. ut A4 3. ad R92.
Ergo  diam. 1Y. R. diam. 1Y. erit
qua, 3 -  - i - 1 _q 2 qu  divida,
R4. 3.
tur per 1s seu radium fier Ag2Y41
R93, 25.
seu R48+44 semicircumferentia, quae
ta 3V auplicata seu multiplicata
t4 3V per R44. dabit.
A932 Y44 X lircumf. et Hosipr 12 A 1rg. dabit
R43214)  Rabo
R93Y44. Aqd. tiam
143,, R93r9.
1s esto 1000,000. Eup H. 1000, 000, 000, 000., seu R9, 1000, a0, 000, 000, 000, 000, (0do, 000
. . ....
multiplicatum Ar R4.2. seu....
Culriplicetur per Rg+. fiet:..
dividatur per M4 1000, 000, 000, 000. fiet.
A2... . 
Aq 3.
R48. ......
Ag 5 5  Y h. 6et 11d la 6666666666663 9.
quantitate
0e6000 5 1000 ud
5980
100 d oos 20 1000000
oo
16
5986
1000000
1060 ed 25 00a
R43, 0071000, 000, 000
R4320000b000000 circumf
R9 32,000,000000,000, ooso, 090, 00 est
310de, , 090 0yo
29 32 1000,000, 0ec.
dian